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Regensburg 2022 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 28: Extreme Events, Glasses and Miscellaneous

DY 28.5: Vortrag

Mittwoch, 7. September 2022, 12:15–12:30, H19

Driven aging dynamics on sparse networks — •Benedikt Johannes Grüger1, Diego Tapias1, and Peter Sollich1,21Institute for Theoretical Physics, Georg-August-Universität Göttingen, 37077 Göttingen, Germany — 2Department of Mathematics, King's College London, London WC2R 2LS, UK

We investigate the interaction of two paradigmatic ways of being out of equilibrium, aging and driving, in simple models of glassy dynamics. We specifically consider the Bouchaud model, where a system jumps between the numerous minima of a rough energy landscape in configuration space. As the temperature decreases, the system undergoes a dynamical phase transition, at which the relaxation time diverges. With an additional field, we then drive the system by biasing its dynamics towards higher/lower jumping activity. We investigate the spectrum of the (biased) master operator in that framework, using a population dynamics algorithm based on cavity theory that allows us to deduce statements about the thermodynamic limit. Combining this with extensive diagonalization we identify novel regimes in the bias-temperature phase diagram that are distinguished by the occurrence of different kinds of eigenvector localization and are linked to the existence of a spectral gap. We also present methodological advances in the form of novel strategies for operating the population dynamics algorithm.

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